Thread Rating:
  • 0 Vote(s) - 0 Average
  • 1
  • 2
  • 3
  • 4
  • 5
Observations on power series involving logarithmic singularities
#16
I think you got it. The chopping-of-the-first-row and the diagonal-factorial-matrix parts sounded right. But I think we would need to be able to differentiate tetration reliably (not just the first derivative at zero for example) in order to be able to use it to find pentation or the pentalog/hyper5log via the Abel functional equation. I'm not saying we can't, but I can't think of any method available that gives exact derivatives of tetration yet, but granted, we do have approximations. Smile

Andrew Robbins
Reply


Messages In This Thread
RE: Observations on power series involving logarithmic singularities - by andydude - 11/05/2007, 08:20 AM

Possibly Related Threads...
Thread Author Replies Views Last Post
  Perhaps a new series for log^0.5(x) Gottfried 0 173 12/05/2019, 04:35 PM
Last Post: Gottfried
  A Notation Question (raising the highest value in pow-tower to a different power) Micah 8 2,695 02/18/2019, 10:34 PM
Last Post: Micah
Question Taylor series of i[x] Xorter 12 11,783 02/20/2018, 09:55 PM
Last Post: Xorter
  Functional power Xorter 0 1,335 03/11/2017, 10:22 AM
Last Post: Xorter
  2 fixpoints related by power ? tommy1729 0 1,471 12/07/2016, 01:29 PM
Last Post: tommy1729
  Taylor series of cheta Xorter 13 12,834 08/28/2016, 08:52 PM
Last Post: sheldonison
  Inverse power tower functions tommy1729 0 1,888 01/04/2016, 12:03 PM
Last Post: tommy1729
  Further observations on fractional calc solution to tetration JmsNxn 13 13,972 06/05/2014, 08:54 PM
Last Post: tommy1729
  Remark on Gottfried's "problem with an infinite product" power tower variation tommy1729 4 5,216 05/06/2014, 09:47 PM
Last Post: tommy1729
  [integral] How to integrate a fourier series ? tommy1729 1 2,560 05/04/2014, 03:19 PM
Last Post: tommy1729



Users browsing this thread: 1 Guest(s)